The graph shows the number of students enrolled in public colleges for selected years. The x variable represents the number of years since 1990 and the y variable represents the number of students (in millions). a. Use the points (4, 11.2) and (14, 13.0) to write a linear model for these data. b. Interpret the meaning of the slope in the context of this problem. c. Interpret the meaning of the y -intercept in the context of this problem. d. In the event that the linear trend continues beyond the last observed data point, use the model in part (a) to predict the number of students enrolled in public colleges for the year 2020.
The graph shows the number of students enrolled in public colleges for selected years. The x variable represents the number of years since 1990 and the y variable represents the number of students (in millions). a. Use the points (4, 11.2) and (14, 13.0) to write a linear model for these data. b. Interpret the meaning of the slope in the context of this problem. c. Interpret the meaning of the y -intercept in the context of this problem. d. In the event that the linear trend continues beyond the last observed data point, use the model in part (a) to predict the number of students enrolled in public colleges for the year 2020.
Solution Summary: The author calculates a linear model for the data in the graph shown below that shows the number of students enrolled in public colleges for selected years.
The graph shows the number of students enrolled in public colleges for selected years. The
x
variable represents the number of years since 1990 and the
y
variable represents the number of students (in millions).
a. Use the points (4, 11.2) and (14, 13.0) to write a linear model for these data.
b. Interpret the meaning of the slope in the context of this problem.
c. Interpret the meaning of the
y
-intercept
in the context of this problem.
d. In the event that the linear trend continues beyond the last observed data point, use the model in part (a) to predict the number of students enrolled in public colleges for the year 2020.
8. For x>_1, the continuous function g is decreasing and positive. A portion of the graph of g is shown above. For n>_1, the nth term of the series summation from n=1 to infinity a_n is defined by a_n=g(n). If intergral 1 to infinity g(x)dx converges to 8, which of the following could be true? A) summation n=1 to infinity a_n = 6. B) summation n=1 to infinity a_n =8. C) summation n=1 to infinity a_n = 10. D) summation n=1 to infinity a_n diverges.
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SHOW ME ALL THE NEDDED STEP
13: If the perimeter of a square is shrinking at a rate of 8 inches per second, find the rate at which its area is changing when its area is 25 square inches.
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SHOW ME ALL THE NEEDED STEPS
11: A rectangle has a base that is growing at a rate of 3 inches per second and a height that is shrinking at a rate of one inch per second. When the base is 12 inches and the height is 5 inches, at what rate is the area of the rectangle changing?
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Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY